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161458020 = 223251635503
BaseRepresentation
bin10011001111110…
…10011101100100
3102020210220202200
421213322131210
5312313124040
624004334500
74000241043
oct1147723544
9366726680
10161458020
1183158889
12460a4430
13275b12b9
141762c55a
15e294630
hex99fa764

161458020 has 72 divisors (see below), whose sum is σ = 492850176. Its totient is φ = 42783552.

The previous prime is 161458001. The next prime is 161458069. The reversal of 161458020 is 20854161.

161458020 is a `hidden beast` number, since 1 + 61 + 4 + 580 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26589 + ... + 32091.

Almost surely, 2161458020 is an apocalyptic number.

161458020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161458020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246425088).

161458020 is an abundant number, since it is smaller than the sum of its proper divisors (331392156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161458020 is a wasteful number, since it uses less digits than its factorization.

161458020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5681 (or 5676 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 161458020 is about 12706.6132387824. The cubic root of 161458020 is about 544.5275708452.

The spelling of 161458020 in words is "one hundred sixty-one million, four hundred fifty-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1630 1956 2445 2934 3260 4890 5503 5868 7335 9780 11006 14670 16509 22012 27515 29340 33018 49527 55030 66036 82545 99054 110060 165090 198108 247635 330180 495270 896989 990540 1793978 2690967 3587956 4484945 5381934 8072901 8969890 10763868 13454835 16145802 17939780 26909670 32291604 40364505 53819340 80729010 161458020